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Finding the Fourth Proportional to 9,354.30, 13,962.97 and 8,247.16

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Solution

The fourth proportional to 9,354.30, 13,962.97 and 8,247.16 is: 12,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.30 : 13,962.97 = 8,247.16 : x
  2. Step 2: Convert to fraction form
    9,354.30/13,962.97 = 8,247.16/x
  3. Step 3: Cross multiply
    9,354.30x = 13,962.97 × 8,247.16
  4. Step 4: Simplify right side
    9,354.30x = 115,154,847.67
  5. Step 5: Solve for x
    x = 115,154,847.67/9,354.30
  6. Step 6: Final answer
    x = 12,310.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.